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Finding the Fourth Proportional to 3,738.67, 5,610.38 and 3,388

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Solution

The fourth proportional to 3,738.67, 5,610.38 and 3,388 is: 5,084.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.67 : 5,610.38 = 3,388 : x
  2. Step 2: Convert to fraction form
    3,738.67/5,610.38 = 3,388/x
  3. Step 3: Cross multiply
    3,738.67x = 5,610.38 × 3,388
  4. Step 4: Simplify right side
    3,738.67x = 19,007,967.44
  5. Step 5: Solve for x
    x = 19,007,967.44/3,738.67
  6. Step 6: Final answer
    x = 5,084.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.